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Finding the Third Proportional to 52,002 and 121,329

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Solution

The third proportional to 52,002 and 121,329 is: 283,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002 : 121,329 = 121,329 : x
  2. Step 2: Convert to fraction form
    52,002/121,329 = 121,329/x
  3. Step 3: Cross multiply
    52,002x = 121,329 × 121,329
  4. Step 4: Simplify right side
    52,002x = 14,720,726,241
  5. Step 5: Solve for x
    x = 14,720,726,241/52,002
  6. Step 6: Final answer
    x = 283,080.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.